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Finding the Fourth Proportional to 396,561.30, 593,857.80 and 317,829.30

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Solution

The fourth proportional to 396,561.30, 593,857.80 and 317,829.30 is: 475,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,561.30 : 593,857.80 = 317,829.30 : x
  2. Step 2: Convert to fraction form
    396,561.30/593,857.80 = 317,829.30/x
  3. Step 3: Cross multiply
    396,561.30x = 593,857.80 × 317,829.30
  4. Step 4: Simplify right side
    396,561.30x = 188,745,408,873.54
  5. Step 5: Solve for x
    x = 188,745,408,873.54/396,561.30
  6. Step 6: Final answer
    x = 475,955.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.